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Finding the Fourth Proportional to 607.24, 910.56 and 364.24

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Solution

The fourth proportional to 607.24, 910.56 and 364.24 is: 546.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.24 : 910.56 = 364.24 : x
  2. Step 2: Convert to fraction form
    607.24/910.56 = 364.24/x
  3. Step 3: Cross multiply
    607.24x = 910.56 × 364.24
  4. Step 4: Simplify right side
    607.24x = 331,662.37
  5. Step 5: Solve for x
    x = 331,662.37/607.24
  6. Step 6: Final answer
    x = 546.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.